Cranston Cranberry Cooperative $($CCC$)$ processes cranberries that are harvested in the local area. Barrels of cranberries arrive on trucks to CCC$\text{'}$s facility at an average rate of $4$ barrels per hour. The average processing time of one barrel of cranberries is $10$ minutes. The coefficient of variation of the arrival process is $1\mathrm{.}7.$ The coefficient of variation of the service process is $1.$

On average, how many barrels of cranberries are waiting in line? $($Round off your answer to the FIRST decimal point$)($Difficulty Level $-$ Hard$)$

Note: the questions asks about the number of barrels in line, NOT the waiting time in line.